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Finding the Fourth Proportional to 3,609.90, 5,406.32 and 2,824.40

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Solution

The fourth proportional to 3,609.90, 5,406.32 and 2,824.40 is: 4,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.90 : 5,406.32 = 2,824.40 : x
  2. Step 2: Convert to fraction form
    3,609.90/5,406.32 = 2,824.40/x
  3. Step 3: Cross multiply
    3,609.90x = 5,406.32 × 2,824.40
  4. Step 4: Simplify right side
    3,609.90x = 15,269,569.05
  5. Step 5: Solve for x
    x = 15,269,569.05/3,609.90
  6. Step 6: Final answer
    x = 4,229.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.